Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19152008 | C2 | semidirect |
| 3. #19152006 | C2 | semidirect |
| 4. #19151998 | C2 | semidirect |
| 5. #19151996 | C2 | semidirect |
| 6. #19151995 | C2 | semidirect |
| 11. #499×C89 | C2 | semidirect |
| 43. #13083557 | Q8 | semidirect |
| 46. C8×D89 | Q8 | semidirect |
| 100. C89 | #3163 | semidirect |
| 105. #499 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152228 | 2 |
| #19152008 | 2 |
| #19152006 | 2 |
| #19151998 | 2 |
| #19151996 | 2 |
| #19151995 | 2 |
| #19151639 | 2 |
| #19151633 | 2 |
| #106×D89 | 2 |
| #19151552 | 2 |
| #499×C89 | 2 |
| #3163 | 89 |